Question

find the unknown lettered angle.​
step

Answer 1

Step-by-step explanation:

Sum of supplementary angles is 180°:

180-95=85°

The sum of angles of a triangle equals 180°.So:

x+2x-10+85°=180°

3x+75=180°

3x=105°

x=35°

2x-10=2×35-10=70-10=60°

Answer 2

Answer :-

• The unknown angles are 35° and 60°.

Step-by-step explanation :

To Find :-

• The unknown angles of the triangle

Solution :-

Given that,

• The first and second angles of triangle are ( x )° and ( 2x - 10 )°
• One of the third unknown interior angle have a exterior angle which forms a linear pair = 95°

The measure of the third interior angle :-

=> Third Interior angle + 95 = 180

=> Third angle = 180 - 95

=> Third angle = 85

Hence,

• The third Interior angle of triangle is 85°

According the question,

The measure of the unknown angles are :-

As we know that,

Sum of all Interior angles of ∆ = 180°,

• x + ( 2x - 10 ) + 85° = 180°

=> x + ( 2x - 10 ) + 85 = 180

=> x + 2x - 10 = 180 - 85

=> x + 2x - 10 = 95

=> 3x - 10 = 95

=> 3x = 95 + 10

=> 3x = 105

=> x = 105/3

=> x = 35

• The value of x is 35.

Now, the angles are :-

• x

=> x

=> 35°

• ( 2x - 10 )

=> 2x - 10

=> 2*35 - 10

=> 70 - 10

=> 60°

Hence, The unknown angles are 35° and 60°.